Answer:
Yes, line L and line K are parallel because the slopes are equal.
Step-by-step explanation:
From the question given:
Line L contains point A(2, 2) and B(3, 6)
Line K contains point C(0, 5) and D(1, 9)
To know if the lines are parallel, we need to determine the slope of each line.
The slope of each line can be obtained as follow:
1. Determination of the slope of line L.
Line L contains point A(2, 2) and B(3, 6)
x1 coordinate = 2
x2 coordinate = 3
y1 coordinate = 2
y2 coordinate = 6
Slope = Chang in y coordinate / change in x coordinate
Slope = y2 - y1 / x2 - x1
Slope = 6 - 2 / 3 - 2
Slope = 4/1
Slope = 4
Therefore, the slope of line L is 4.
2. Determination of the slope of line K.
Line K contains point C(0, 5) and D(1, 9)
x1 coordinate = 0
x2 coordinate = 1
y1 coordinate = 5
y2 coordinate = 9
Slope = Chang in y coordinate / change in x coordinate
Slope = y2 - y1 / x2 - x1
Slope = 9 - 5 / 1 - 0
Slope = 4/1
Slope = 4
Therefore, the slope of line K is 4.
Summary
Line >>>>>>>>>>> Slope
L >>>>>>>>>>>>> 4
K >>>>>>>>>>>>> 4
From the above calculations, we can see that line L and line K has the same slope.
Therefore, line L and line K are parallel.
Help I will love you forever
[tex]6\sqrt [4]{405 {a}^{5} {b}^{8}c } [/tex]
Help 5y^5/y^3 a) 5y^2 b) 5/y^2 c) 5y^8 d) 5y
Answer:
a) 5y²
Step-by-step explanation:
5 divided by 1 is still 5
y^5/y^3 subtract the exponents since the base is the same
Answer:
a) 5y²
Step-by-step explanation:
5y⁵ / y³ = 5y⁵⁻³ = 5y²
a) 5y²
simplify(1-√3)(1/3+√3) leaving your answer in the form p +q √3
Answer:
-8/3 + 2/3 (√3)
Where, p = -8/3
q = 2/3
Step-by-step explanation:
Simplify(1-√3)(1/3+√3)
= (1-√3)(1/3+√3)
Expand the bracket
= 1(1/3+√3) -√3(1/3+√3)
= 1/3 + √3 - √3/3 - 3
Collect like terms
= 1/3 - 3 + √3 - √3/3
= (1/3 - 3) + (√3 - √3/3)
= -8/3 + [(3√3 - √3)/3]
= -8/3 + 2√3/3
= -8/3 + 1/3( 2√3)
= -8/3 + 2/3 (√3)
Where, p = -8/3
q = 2/3
Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x^7+10x^6 C) 2x^7+12x^6+10x^5 D) 2x^7-12x^6+10x^5
Answer:
Option D. 2x⁷ - 12x⁶ + 10x⁵
Step-by-step explanation:
From the question given:
Length (L) = 2x²
Width (w) = x³
Height (h) = x² - 6x + 5
Volume (V) =?
Volume (V) = length (L) x width (w) x height (h)
V = L x w x h
V = 2x² × x³ × x² - 6x + 5
V = (2x²) (x³) (x² - 6x + 5)
V = (2x⁵) (x² - 6x + 5)
Clear bracket
V = 2x⁷ - 12x⁶ + 10x⁵
Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵
Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?
WHOEVER ANSWERS QUICKEST WITH THE CORRECT ANSWER WILL BE BRAINLIEST!!
Answer:
[tex]-\dfrac67[/tex]
Step-by-step explanation:
slope of r:
[tex]a_r=\dfrac{10-3}{8-2}=\dfrac76[/tex]
s is perpendicular to r:
[tex]s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67[/tex]
HURRY PLEASEEEEEEEEE...? What is the definition of an angle? A.A part of a line starting at a particular point and extending indefinitely in one direction. B.To rays sharing a common endpoint. C.All points between and including two endpoints. D.The set of all points that a fixed distance from a given point.
Answer:
C
Step-by-step explanation:
All points between and including two endpoints.
I am so sorry if this is incorrect!!!!!!!!!!!!!!!!!!!
Answer:
B.) the set of all points that are a fixed distance from a given point
Step-by-step explanation:
Search the definition up, it'll give you the same answer.
You're welcome
>:D
What is the product of 50x 0.08
Answer:
the answer to your question is simply
Step-by-step explanation:
4
The answer is 4
Hope this helps:)
Please help me with this question, as soon as possible.
Answer:
B y is 3/4 of (x+y)
Step-by-step explanation:
a : is the same thing as a division sign or a fraction bar
so 1 : 3 = 1/3
this ratio says that for every 1 of x, there are 3 y's.
so 1x = 3y or y = 1/3x
x = 1; y = 3
x + y = 4
y / (x+y)
3 / 4
y is 3/4 of (x+y)
The solution of the equation 3x+4=25
Answer:
[tex]\huge \boxed{x=7}[/tex]
Step-by-step explanation:
3x + 4 = 25
Subtract 4 from both sides.
3x + 4 - 4 = 25 - 4
3x = 21
Divide both sides by 3.
(3x)/3 = 21/3
x = 7
Isaac applied the steps below to find the product of (4.2)(-5.4).
Step 1: (4.2)-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
= -22.68
Which step shows where Isaac applied the distributive property?
Step 1
Step 2
Step 3
Step 4
Answer: Hey There!!
The answer to this is Step 2: Distributive Property: a(b + 3) = ab + ac
Isaac's Steps are outlined below:
Step 1: (4.2) (-54) = (-54) (4.2)
Step 2: = (-5.4) (4) + (-5.4) (0.2)
Step 3: = (-21.6) + (-1.08)
Step 4: = 22.68
We observe that in Step 2:
(-5.4) (4.2) = (-5.4) (4 × 0.2) = (-5.4) (4) + (-5.4) (0.2)
Therefore, Isaac applied the distributive property in Step 2.
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer:
Step 2: Distributive Property:
= (-5.4)(4) + (-5.4)(0.2)
hope this helped, here is a hug
༼ つ ◕_◕ ༽つ
Select the equivalent expression. (a^-3/b^2)^4=? Choose 1 answer: A. b^2/a^7 B. (b/a)^20 C. 1/a^12*b^8
Answer:
1
C = --------
a¹² b⁸
Step-by-step explanation:
(a⁻³/b²)⁴
( (1/a³) / (b²))⁴
( 1/a³ ÷ b² )⁴
therefore,
1
= ------
a¹² b⁸
What is the best way to study all my countries? RN I'm on Asia, and I've done USA, Canada (provinces and territories), Central America, Caribbean, South America, Europe. The thing is, IDK when I have my test, but IK that incase it comes in a week, I have to be prepared. Asia and Africa has 99 countries, and I can't study that fast. I need a fast, efficient way of studying. Websites are ok. (BTW sorry I had to put this in the math section, its just a lot of people hang out there.)
use seterra its good
The set of numbers that includes all positive numbers, zero,
and all negative numbers are called
Answer:
They are Called Intergers
Step-by-step explanation:
there were 62 females and 217 males present at the high school pep rally. find the ratio of the males to the total number of people present
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The ratio is 217 to 279 or 217:279 or [tex]\frac{217}{279}[/tex]
Males: The number of males if already stated. (217)
Total number of people present: The total number of people means males + females. There are 62 females and 217 males. 62+217 is 279.
Males to total people = 217 to 279
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The ratio of the males to the total number of people present is [tex]\frac{7}{9}[/tex] = 7:9
What is ratio?"A ratio is an ordered pair of numbers a and b, written [tex]\frac{a}{b}[/tex] where b does not equal 0."
We have
Female candidates at the high school rally = 62
Male candidates at the high school rally = 217
Total number of people present at the high school rally
= 62 + 217
= 279
The ratio of the males to the total number of people present
= [tex]\frac{Total Number of People Present}{Male Candidates Present}[/tex]
= [tex]\frac{217}{279}[/tex]
= [tex]\frac{7}{9}[/tex]
Hence, the ratio of the males to the total number of people present is [tex]\frac{7}{9}[/tex] = 7:9
Learn more about ratio here
https://brainly.in/question/21176443
#SPJ2
Write 10 x 10 x 10 x 10 x 10 with an exponent.
10 x 10 x 10 x 10 x 10 =
Answer:
[tex]10^5[/tex]
Step-by-step explanation:
Exponents are basically just saying how many times the number is multiplied by itself.
In the expression [tex]10\cdot10\cdot10\cdot10\cdot10[/tex], we can see that 10 is being multiplied by itself 5 times.
So the exponent becomes 5, and the base is 10.
[tex]10^5[/tex].
Hope this helped!
[tex]10^{5}[/tex]
Step-by-step explanation:
God bless
10 to the power of 5
Find the difference of 268.75 and -46.99
Answer:
315.74
Step-by-step explanation:
=268.75−(−46.99)
=268.75+46.99
=315.74
"five times the sum of a number and 6 is 48"
Answer:
Sum of the number is 8.4
Step-by-step explanation:
x = sum of a number
(5 × x) + 6 =48
5x + 6 = 48
5x + (6 - 6) = (48 - 6)
5x = 42
5x ÷ 5 = 42 ÷ 5
x = 8.4
Answer:
5 (x+6)=48
x=3.6
Step-by-step explanation:
let x be the unknown number :
5 (x+6)=48
5x+30=48
5x=48-30
5x=18
x=18/5=3.6
What is the measure of ZRSP in the diagram below?
R
79°
43°
S
A. 58°
B. 101°
C. 122
D. 180°
Greetings from Brasil...
We know that the sum of the internal angles of a triangle is 180....
Bringing to our problem:
Angle P + Angle R + Angle S = 180
43 + 79 + Angle S = 180
Angle S = 180 - 43 - 79
Angle S = 5830 POINTS!! An international company has 13,500 employees in one country. If this represents 29.7% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number. Please answer correctly!
Answer:
Approximately 45,455 total employees.
Step-by-step explanation:
So the company has 13,500 employees in one country. And this represents 29.7% of the company's employees.
In other words:
[tex]\frac{13,500}{\text{Total}}=0.297[/tex]
The left represents the number of employees in one country over the total number.
And the right is the decimal form of 29.7%. Simply move the decimal two places to the left and remove the percent symbol.
So, to solve for the total, multiply both sides by it first. The left side cancels:
[tex]\text{Total}(\frac{13500}{\text{Total}} )=\text{Total}(0.297)\\13500=\text{Total}(0.297)[/tex]
Now, divide both sides by 0.297. The right side cancels:
[tex]\text{Total}=\frac{13500}{0.297}[/tex]
Use a calculator.
[tex]\text{Total}\approx45454.5455[/tex]
So, there is approximately 45,455 total employees.
Answer:
[tex]\Large \boxed{\mathrm{45455 \ employees }}[/tex]
Step-by-step explanation:
29.7% of the company’s employees is 13,500.
Let the number of the company’s employees be x.
[tex]29.7\% \cdot x = 13500[/tex]
[tex]0.297x=13500[/tex]
Dividing both sides by 0.297.
[tex]x= 45454.5454545...[/tex]
There are 45455 employees in total (rounded to nearest whole number).
Find the value of
3a²-4ab-26² when A= -1 and b-4
Answer:
-657
Step-by-step explanation:
[tex]a= -1\\b= 4\\[/tex]
Substituting the value of a and b
[tex]3a^{2}-4ab-26^{2} \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657[/tex]
The value of 3a²-4ab-26² is -657
Continue this pattern of shapes for three more steps.
Answer:
triangle square hexagon, triangle square hexagon
Answer:
Step-by-step explanation:
1. six equal sides -Regular hexagon.
2.seven equal sides-Regular heptagon.
3. eight equal sides-Regular Octagon
Seorang pemilik toko sepatu ingin mengisi tokonya dengan sepatu laki-laki paling sedikit 100 pasang, dan sepatu wanita paling sedikit 150 pasang. Toko tersebut dapat memuat 400 pasang sepatu. Keuntungan setiap pasang sepatu laki-laki Rp 1.000 dan setiap pasang sepatu wanita Rp 500. Jika banyaknya sepatu laki-laki tidak boleh melebihi 150 pasang maka keuntungan terbesar yang diperoleh adalah. . .
Menjawab:
Rp. 275.000
Penjelasan langkah demi langkah:
Diberikan sebagai berikut:
Jumlah maksimal toko sepatu yang bisa menampung = 400 pasang
Jumlah maksimal sepatu pria = 150 pasang
Jumlah terkecil sepatu wanita = 150 pasang
Keuntungan sepatu pria = Rp 1000
Keuntungan sepatu wanita = Rp. 500
Karena itu, jumlah maksimum sepatu wanita:
(Toko sepatu maksimum dapat menampung - jumlah maksimum sepatu pria)
(400 - 150) = 250 pasang
Keuntungan terbesar yang bisa dicapai:
(Jumlah sepatu pria * keuntungan) + (jumlah sepatu wanita * keuntungan)
(150 * 1000) + (250 * 500)
Rp. 150.000 + Rp. 125.000
= Rp. 275.000
Given that x = 5 and y = 9, evaluate the expression using -4xy - 6x2 + 2x2y - 6y
Answer:
66
Step-by-step explanation:
Put the numbers in place of the corresponding variables and do the arithmetic.
-4(5)(9) -6(5)^2 +2(5)^2(9) -6(9) = -180 -150 +450 -54 = 66
calculate the values of the Expressions below 6 - 2 (4 + 5) + 6
Answer:
= -6
Step-by-step explanation:
6 - 2 (4 + 5) + 6
=6-2 * 9 + 6
= -6
Answer:
12
Step-by-step explanation:
Sophia can wash 99 cars in 9 days.How many cars can Sophia wash per day?
Answer: Hi!
Here we're trying to find something called a unit rate. To find the unit rate in this situation, we have to divide the amount of cars by the amount of days:
99 ÷ 9 = 11
Sophia can wash 11 cars in one day.
Hope this helps!
Answer:
[tex]\Huge \boxed{\mathrm{11}}[/tex]
Step-by-step explanation:
She can wash 99 cars in 9 days.
Divide number of cars by number of days.
99 cars / 9 days ⇒ 11 cars/day ⇒ 11 cars per day.
Which number is a rational number, but not an integer? - 144−−−√- square root 218/12 184/4 99
Answer:
184/4
Step-by-step explanation:
A rational number is a number in the form p/q where the numerator and denominator (p and q) are both integers but the denominator q is not equal to zero (q ≠ 0)
An integer is a whole number (not fractional) that is either positive, negative or zero.
From the question:
-144 is an integer because it is a negative whole number. Also -144 can be represented as -144 / 1, hence it is a rational number
√218/12 is neither a rational number or integer
184/4 is not an integer because it is not a whole number. 184/4 is a rational number
99 is an integer because it is a positive whole number. Also 99 can be represented as 99 / 1, hence it is a rational number
Solve for c in the literal equation 3p + 11c =p. Represent any fractions in simplified proper or improper
form only.
[tex]11c=p-3p\\11c=-p\\c=-\frac{2p}{11}[/tex]
The two squares in the graph below are similar. Which sequence of transformations proves that the squares are similar?
A translation 6 units left and 5 units down followed by a dilation with scale factor 5
A translation 5 units left and 6 units down followed by a dilation with scale factor 5
A translation 6 units left and 5 units down followed by a dilation with scale factor
A translation 5 units left and 6 units down followed by a dilation with scale factor
Answer:
B
Step-by-step explanation:
Solve the equation
(If possible please show work)
Answer:
-2x+4 = 1-4x-3-2x+4x = 1-3-42x = -6x = -6/2•°• x = -3➨ -2x + 4 = 1 - 4x - 3
➨ -2x + 4 = -4x - 2
➨ -2x + 4x = -2 - 4
➨ 2x = -6
➨ x = -6/2
➨ x = -3
Therefore, the value of x is -3.
whats 46.288 rounded to the nearest tenth
Answer:
46.3
Step-by-step explanation:
Find the number in the tenth place (2) and look one place to the right for the rounding digit (8) Round up if this number is greater than or equal to 5 and round down if it is less than 5